On this page
Arithmetic group normal-subgroup classification adapter
Family 018: The Margulis–Platonov conjecture over global fields. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Group researchers can connect abstract normal subgroups to local open subgroups under the stated algebraic group hypotheses.
Applicability and commercial boundary
Infinite abstract subgroup classification need not admit a finite encoding or efficient algorithm.
Initial business decision
Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.
Next verification action
Identify a finite presentation or symbolic local-group example.
Evidence scope
The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.
The Margulis–Platonov conjecture over global function fields.